Question: Explain why each equation is an example of the given property of determinants (A and B are square matrices). Use a graphing utility to verify
Explain why each equation is an example of the given property of determinants (A and B are square matrices). Use a graphing utility to verify the results.
1. If B is obtained from A by interchanging two rows of A or interchanging two columns of A, then |B| = ˆ’|A|.
a.
-1.png)
b.
-2.png)
2. If B is obtained from A by adding a multiple of a row of A to another row of A or by adding a multiple of a column of A to another column of A, then |B| = |A|.
a.
-3.png)
b.
-4.png)
4 3 4 4 2 -5| = - -7 -7 -5 -5 2 2| 1 3. 4 Ol = - 2 2 -2 - 2 3 4,
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1 a 115 115 Column 2 and Column 3 were interchanged b 40 ... View full answer
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